Partition of Unity and Density: A Counterexample
نویسنده
چکیده
By providing a counterexample we show that there exists a shift-invariant space S generated by a piecewise linear function such that the union of the corresponding scaled spaces Sh (h > 0) is dense in C0(R) but S does not contain a stable and locally supported partition of unity. This settles a question raised by C. de Boor and R. DeVore a decade ago.
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تاریخ انتشار 1997